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140110668 = 2233172672
BaseRepresentation
bin10000101100111…
…10101101001100
3100202122100201000
420112132231030
5241332020133
621523020300
73320630625
oct1026365514
9322570630
10140110668
11720a8245
123ab0a690
1323048829
1414872a4c
15c479413
hex859eb4c

140110668 has 108 divisors (see below), whose sum is σ = 391719720. Its totient is φ = 43300224.

The previous prime is 140110661. The next prime is 140110679. The reversal of 140110668 is 866011041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

140110668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140110661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2091171 + ... + 2091237.

Almost surely, 2140110668 is an apocalyptic number.

140110668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140110668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195859860).

140110668 is an abundant number, since it is smaller than the sum of its proper divisors (251609052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140110668 is a wasteful number, since it uses less digits than its factorization.

140110668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 140110668 is about 11836.8352189257. The cubic root of 140110668 is about 519.3861938966.

Multiplying 140110668 by its sum of digits (27), we get a square (3782988036 = 615062).

140110668 divided by its sum of digits (27) gives a square (5189284 = 22782).

The spelling of 140110668 in words is "one hundred forty million, one hundred ten thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 102 108 134 153 201 204 268 289 306 402 459 578 603 612 804 867 918 1139 1156 1206 1734 1809 1836 2278 2412 2601 3417 3468 3618 4489 4556 5202 6834 7236 7803 8978 10251 10404 13467 13668 15606 17956 19363 20502 26934 30753 31212 38726 40401 41004 53868 58089 61506 76313 77452 80802 116178 121203 123012 152626 161604 174267 228939 232356 242406 305252 348534 457878 484812 522801 686817 697068 915756 1045602 1297321 1373634 2060451 2091204 2594642 2747268 3891963 4120902 5189284 7783926 8241804 11675889 15567852 23351778 35027667 46703556 70055334 140110668